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Finding the Fourth Proportional to 2,067.10, 3,100.79 and 834.51

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Solution

The fourth proportional to 2,067.10, 3,100.79 and 834.51 is: 1,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.10 : 3,100.79 = 834.51 : x
  2. Step 2: Convert to fraction form
    2,067.10/3,100.79 = 834.51/x
  3. Step 3: Cross multiply
    2,067.10x = 3,100.79 × 834.51
  4. Step 4: Simplify right side
    2,067.10x = 2,587,640.26
  5. Step 5: Solve for x
    x = 2,587,640.26/2,067.10
  6. Step 6: Final answer
    x = 1,251.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.